An equation that relates x and y coordinates defines a specific relationship between the two variables, allowing you to determine the position of points on the xy-plane. For example, a linear equation like (y = mx + b) gives you the y-coordinate for any given x-coordinate, and vice versa. By substituting different values of x or y into the equation, you can generate a set of points that lie on the graph of the equation, illustrating the relationship visually on the plane. This ability to derive coordinates from an equation is fundamental in analyzing and graphing mathematical relationships.
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The x and y coordinates
Substitute the coordinates of the point into the equation and if the result is a true statement then the point is a solution, and if not it isn't.
An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.
You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.
That will depend on the value of the slope which has not been given.